About: ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS

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Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.ijpam.eu/contents/2013-88-4/11/11.pdf
Description	The Fibonacci sequence (or sequence of Fibonacci numbers) ( F_n) is the sequence of positive integers satisfying the recurrence F_n+2=F_n+1+F_n with the initial conditions F_0=0 and F_1= 1. The Lucas sequence is a sequence ( L_n) of positive integers satisfying the same recurrence as Fibonacci numbers but with the initial conditions L_0=2 and L_1=1. These sequences are usually extended for negative indices by identities F_{-n}=(-1)^{n+1}F_{n} and L_{-n}=(-1)^{n}L_{n}. We will concentrate on review of some facts on Fibonacci numbers, Hessenberg matrices and tridiagonal matrices in this paper. We will summarize the results on determinants of families of tridiagonal matrices which have as the value some Fibonacci numbers, but we prove most of this results by simpler and more direct way with the help of The On-line Encyclopedai of Integer Sequences (OEIS). The Fibonacci sequence (or sequence of Fibonacci numbers) ( F_n) is the sequence of positive integers satisfying the recurrence F_n+2=F_n+1+F_n with the initial conditions F_0=0 and F_1= 1. The Lucas sequence is a sequence ( L_n) of positive integers satisfying the same recurrence as Fibonacci numbers but with the initial conditions L_0=2 and L_1=1. These sequences are usually extended for negative indices by identities F_{-n}=(-1)^{n+1}F_{n} and L_{-n}=(-1)^{n}L_{n}. We will concentrate on review of some facts on Fibonacci numbers, Hessenberg matrices and tridiagonal matrices in this paper. We will summarize the results on determinants of families of tridiagonal matrices which have as the value some Fibonacci numbers, but we prove most of this results by simpler and more direct way with the help of The On-line Encyclopedai of Integer Sequences (OEIS). (en)
Title	ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS (en)
skos:prefLabel	ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS (en)
skos:notation	RIV/62690094:18470/13:50001530!RIV14-MSM-18470___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Jína, Jiří Trojovský, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Hradec Králové / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	93684
http://linked.open...ai/riv/idVysledku	RIV/62690094:18470/13:50001530
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	recurrence; Toeplitz matrix; Hessenbeg matrix; tridiagonal matrix; Matrix (en)
http://linked.open.../riv/klicoveSlovo	tridiagonal matrix Matrix recurrence Toeplitz matrix Hessenbeg matrix
http://linked.open...odStatuVydavatele	BG - Bulharská republika
http://linked.open...ontrolniKodProRIV	[1B001955BCC5]
http://linked.open...i/riv/nazevZdroje	International journal of pure and applied mathematics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	88
http://linked.open...iv/tvurceVysledku	Trojovský, Pavel Jína, Jiří
issn	1311-8080
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.12732/ijpam.v88i4.11
http://localhost/t...ganizacniJednotka	18470

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